We describe how certain cyclotomic Nazarov–Wenzl algebras occur as endomorphism rings
of projective modules in a parabolic version of BGG category O of type D. Furthermore we …

We describe how certain cyclotomic Nazarov-Wenzl algebras occur as endomorphism rings
of projective modules in a parabolic version of BGG category O of type $ D $. Furthermore …

Beginning with the data of a quiver Q, and its dimension vector d, we construct an algebra D
q= D q (Mat d (Q)), which is a flat q-deformation of the algebra of differential operators on the …

We present a generalization of the theory of quantum symmetric pairs as developed by Kolb
and Letzter. We introduce a class of generalized Satake diagrams that give rise to (not …

We give simple formulas for the elements ck appearing in a quantum Cayley-Hamilton
formula for the reflection equation algebra (RE algebra) associated to the quantum group U …

We study twisted Yangians of type AIII which have appeared in the literature under the name
of reflection algebras. They admit $ q $-versions which are new twisted quantum loop …

We introduce equivariant factorization homology, extending the axiomatic framework of
Ayala-Francis to encompass multiplicative invariants of manifolds equipped with finite group …

It is well known that braided monoidal categories are the categorical algebras of the little two-
dimensional disks operad. We introduce involutive little disks operads, which are Z _2 Z 2 …

Classical symmetric pairs consist of a symmetrizable Kac-Moody algebra $\mathfrak {g} $,
together with its subalgebra of fixed points under an involutive automorphism of the second …

We present a generalization the G. Letzter's theory of quantum symmetric pairs of
semisimple Lie algebras for the case of quantum affine algebras. We then study solutions of …